Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Co-Variational Inequality Problem involving Two Generalized Yosida Approximation Operators

Version 1 : Received: 27 June 2023 / Approved: 28 June 2023 / Online: 28 June 2023 (07:28:53 CEST)

A peer-reviewed article of this Preprint also exists.

Ahmad, R.; Wang, Y.; Ishtyak, M.; Rizvi, H.A.; Rajpoot, A.K. Co-Variational Inequality Problem Involving Two Generalized Yosida Approximation Operators. Fractal Fract. 2023, 7, 615. Ahmad, R.; Wang, Y.; Ishtyak, M.; Rizvi, H.A.; Rajpoot, A.K. Co-Variational Inequality Problem Involving Two Generalized Yosida Approximation Operators. Fractal Fract. 2023, 7, 615.

Abstract

In this paper, we study a co-variational inequality problem involving Yosida approximation operators in real uniformly smooth Banach space and define an iterative method to obtain its solution. We prove some properties of Yosida approximation operator for our purpose, that is strongly accretivity and Lipschitz continuity. An existence as well as convergence result is proved for co-variational inequality problem involving Yosida approximation operators using the concept of nonexpansive sunny retraction.

Keywords

Yosida; Solution; Convergence; Inequality; Operator

Subject

Computer Science and Mathematics, Applied Mathematics

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